extra credit hw viii

a4 8 6 4 2 7 5 3 1 2 a0 a1 a1 a2 a2 a3 a4

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Unformatted text preview: a3 = − 6 ·4 ·2 , 5 ·3 ·1 a6 = − 2 , 1 12 · 10 · 8 · 6 · 4 · 2 , 11 · 9 · 7 · 5 · 3 · 1 . . . a4 = 8 ·6 ·4 ·2 , 7 ·5 ·3 ·1 2 a0 + a1 a1 + a2 + a2 + a3 + a4 + a5 = + a6 + a7 14 · 12 · 10 · 8 · 6 · 4 · 2 , 13 · 11 · 9 · 7 · 5 · 3 · 1 0, = , · · · · = · a5 + a6 10 · 8 · 6 · 4 · 2 , 9 ·7 ·5 ·3 ·1 are · a3 + a4 a5 = − a7 = − the above underlined terms 4 ·2 , 3 ·1 a2 = · , · · · 4 · · · · = · · · · , ···. Accordingly, the ‘artificial rewriting’ of the series in (2): 2n !! ∞ n −1 n=0 , 2n − 1 !! is 1 2 (4) · 0+ 2 + 5 ·3 ·1 + ··· . Rewrite the outcome series in (3) us...
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This note was uploaded on 01/12/2014 for the course MATH 116 taught by Professor Scholle,minho during the Fall '08 term at Kansas.

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